four digit numbers are formed by using the digit 1,2,3,4 and 5 without repppearing any digit. Find the probability that a number chosen at random is an odd number

Asked by J.Jeya | 26th Jul, 2019, 09:29: AM

Expert Answer:

Forming a four digit number using digits 1,2,3,4 and 5 without repetion is:
For last place, there are 5 ways, for 2nd last 4 ways, for 3rd last 3 ways and for the first place 2 ways.
Total number of ways = 5x4x3x2=120 ways
A number formed will be odd if the last digit is 1,3 or 5
So, there are 3 ways for the last place
4 ways for 2nd last place, 3 ways for 3rd last place and 2 ways for the first place
Total no. of ways of forming an odd no. = 3x4x3x2=72 ways
P r o b a b i l i t y space t h a t space a space n u m b e r space c h o s e n space i s space a n space o d d space n u m b e r
equals fraction numerator N o. space o f space w a y s space o f space f o r m i n g space a n space o d d space n o. over denominator T o t a l space n o. space o f space w a y s space o f space f o r m i n g space a space 4 space d i g i t space n o. end fraction
equals 72 over 120
equals 3 over 5

Answered by Renu Varma | 26th Jul, 2019, 12:25: PM